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2016•Theoretical and Mathematical PhysicsRequires access

Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature

P. E. Brandyshev

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Abstract

We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a lowenergy effective action for a supermembrane in eleven dimensions with terms of the fourth order in curvature taken into account. From that action, we obtain equations of motion for the bosonic sector of elevendimensional N = 1 supergravity. We find cosmological-type vacuum solutions corresponding to Hubble’s law.

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What this paper is about

We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a lowenergy effective action for a supermembrane in eleven dimensions with terms of the fourth order in curvature taken into account. From that action, we obtain equations of motion for the bosonic sector of elevendimensional N = 1 supergravity. We find cosmological-type vacuum solutions corresponding to Hubble’s law.

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Available abstract

We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a lowenergy effective action for a supermembrane in eleven dimensions with terms of the fourth order in curvature taken into account. From that action, we obtain equations of motion for the bosonic sector of elevendimensional N = 1 supergravity. We find cosmological-type vacuum solutions corresponding to Hubble’s law.

Key concepts: Supergravity, Compactification (mathematics), Physics, Curvature, Mathematical physics, Effective action, Theoretical physics, Action (physics)

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